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Simplifying 6x + y + -2x + 8 + 4y + 2 = 0 Reorder the terms: 8 + 2 + 6x + -2x + y + 4y = 0 Combine like terms: 8 + 2 = 10 10 + 6x + -2x + y + 4y = 0 Combine like terms: 6x + -2x = 4x 10 + 4x + y + 4y = 0 Combine like terms: y + 4y = 5y 10 + 4x + 5y = 0 Solving 10 + 4x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 4x + -10 + 5y = 0 + -10 Reorder the terms: 10 + -10 + 4x + 5y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 4x + 5y = 0 + -10 4x + 5y = 0 + -10 Combine like terms: 0 + -10 = -10 4x + 5y = -10 Add '-5y' to each side of the equation. 4x + 5y + -5y = -10 + -5y Combine like terms: 5y + -5y = 0 4x + 0 = -10 + -5y 4x = -10 + -5y Divide each side by '4'. x = -2.5 + -1.25y Simplifying x = -2.5 + -1.25y
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